## CBSE Class 10 Maths Chapter 7 “Coordinate Geometry” Multiple Choice Questions with Answer Key

**Coordinate Geometry MCQs – **Here is a compilation of **Class 10 Maths Chapter 7 Coordinate Geometry MCQs**. Students can practice free MCQs as have been added by CBSE in the new Exam pattern to know their preparation level. At the end of Multiple Choice Questions, the answer key has also been provided for your reference.

**Q1. Two vertices of a triangle are (3, – 5) and (- 7, 4) . If its centroid is (2, -1), then the third vertex is**

(A) (10, 2)

(B) (-10, 2)

(C) (10, -2)

(D) (-10, -2)

**Q2. 30th term of the A.P., : 10, 7, 4,…….., is:**

(A) 97

(B) 77

(C) -77

(D) -87

**Q3. If the distance between the points (***x***, -1) and (3, 2) is 5, then the value of ***x*** is**

(A) -7 or -1

(B) -7 or 1

(C) 7 or 1

(D) 7 or -1

**Q4. The points (1, 1), (-2, 7) and (3, -3) are**

(A) vertices of an equilateral triangle

(B) collinear

(C) vertices of an isosceles triangle

(D) none of these

**Q5. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are**

(A) (3, 3)

(B) (- 3, 3)

(C) (3, – 3)

(D) (-3,-3)

**Q6. The area of the triangle formed by the points A (-1.5, 3), B (6, -2) and C (-3, 4) is**

(A) 0

(B) 1

(C) 2

(D) 3 2

**Q7. If the points P (1, 2), B (0, 0) and C (***a, b***) are collinear, then**

(A) 2*a = b*

(B) *a = -b*

(C) *a = *2*b*

(D) *a = b*

**Q8. The distance between the point P (1, 4) and Q (4, 0) is**

(A) 4

(B) 5

(C) 6

(D) 3√3

**Q9. The line 3***x*** + ***y*** – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio**

(A) 3 : 4

(B) 3 : 2

(C) 2 : 3

(D) 4 : 3

**Q10. The area of the triangle whose vertices are A (1, 2), B (-2, 3) and C (-3, -4) is**

(A) 11

(B) 22

(C) 33

(D) 21

**Q11. The distance of the point P (2, 3) from the ***x***-axis is**

(A) 2

(B) 3

(C) 1

(D) 5

**Q12. The points (-5, 1), (1, ***p***) and (4, -2) are collinear if the value of ***p*** is**

(A) 3

(B) 2

(C) 1

(D) -1

**Q13. The area of the triangle ABC with the vertices A (-5, 7), B (-4, -5) and C (4, 5) is**

(A) 63

(B) 35

(C) 53

(D) 36

**Q14. In an AP, if d = –4, ***n*** = 7, ***a**n*** = 4, then ***a*** is**

(A) 6

(B) 7

(C) 20

(D) 28

**Q15. In an AP, if ***a*** = 3.5, ***d*** = 0, ***n*** = 101, then ***a**n*** will be**

(A) 0

(B) 3.5

(C) 103.5

(D) 104.5

### Class 10 Maths Chapter 7 MCQ Answer Key

Q.No. |
Ans. |
Q.No. |
Ans. |

1 |
C | 9 |
A |

2 |
C | 10 |
A |

3 |
D | 11 |
B |

4 |
B | 12 |
D |

5 |
B | 13 |
C |

6 |
A | 14 |
D |

7 |
A | 15 |
B |

8 |
B |